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Finding the Fourth Proportional to 196.04, 294.06 and 157.74

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Solution

The fourth proportional to 196.04, 294.06 and 157.74 is: 236.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.04 : 294.06 = 157.74 : x
  2. Step 2: Convert to fraction form
    196.04/294.06 = 157.74/x
  3. Step 3: Cross multiply
    196.04x = 294.06 × 157.74
  4. Step 4: Simplify right side
    196.04x = 46,385.02
  5. Step 5: Solve for x
    x = 46,385.02/196.04
  6. Step 6: Final answer
    x = 236.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.